In each question below are given two or three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts. Give answer
Statements: All doctors are perfect.
All engineers are perfect.
Conclusions I. There is a possibility that some doctors are engineers
II. All perfects are either doctors or engineers.